Winter Fractions Word Problems Worksheets for 3rd Grade | Woo! Jr ... - Free Printable

Let's go through each of the fraction word problems on the worksheet and carefully solve them step by step, explaining the reasoning behind each answer. We'll also correct any errors in the provided answers (some of which appear to be incorrect or unrelated).

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Problem 1:

> Andrew and Becky are sledding. Andrew made it 5/12 of the way down the hill and Becky made it 7/12 of the way down the hill. Who went further?

#### Solution:
We compare the two fractions:
- Andrew: $ \frac{5}{12} $
- Becky: $ \frac{7}{12} $

Since both have the same denominator, we compare numerators:
- 5 < 7 → so $ \frac{5}{12} < \frac{7}{12} $

✔ Becky went further.

✘ The answer given ("Peter made it further...") is incorrect — Peter isn't mentioned in the problem.

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Problem 2:

> A group of boys made a pile of snowballs. Charles made 1/3 of the snowballs and Danny made 1/5 of the snowballs. Who made more?

#### Solution:
Compare $ \frac{1}{3} $ and $ \frac{1}{5} $

Find a common denominator: LCM of 3 and 5 is 15.
- $ \frac{1}{3} = \frac{5}{15} $
- $ \frac{1}{5} = \frac{3}{15} $

Now compare: $ \frac{5}{15} > \frac{3}{15} $

✔ Charles made more snowballs.

✔️ This answer is correct.

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Problem 3:

> Eddy and Francis are making blocks for an igloo. Eddy made enough blocks to make 1/8 of the igloo and Francis made enough blocks for 1/10 of the igloo. Who made the most blocks?

#### Solution:
Compare $ \frac{1}{8} $ and $ \frac{1}{10} $

Common denominator: LCM of 8 and 10 is 40.
- $ \frac{1}{8} = \frac{5}{40} $
- $ \frac{1}{10} = \frac{4}{40} $

$ \frac{5}{40} > \frac{4}{40} $

✔ Eddy made more blocks.

✔️ This answer is correct.

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Problem 4:

> Grace and Harry are repairing skis. Grace repairs 3/13 of the skis and Harry repairs 12/15 of the skis. Who repaired the most skis?

#### Solution:
Compare $ \frac{3}{13} $ and $ \frac{12}{15} $

First simplify $ \frac{12}{15} $:
- $ \frac{12}{15} = \frac{4}{5} = 0.8 $

Now compute $ \frac{3}{13} $:
- $ \frac{3}{13} \approx 0.2308 $

Clearly, $ 0.8 > 0.2308 $

So, $ \frac{12}{15} > \frac{3}{13} $

✔ Harry repaired more skis.

The explanation says: *"Harry's fraction is much closer to 1 than Grace's."*
That’s true — $ \frac{12}{15} = 0.8 $, $ \frac{3}{13} \approx 0.23 $. So yes, Harry repaired more.

✔️ Answer is correct.

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Problem 5:

> Many students have the winter flu. In Ms. Smith's class only 1/2 the students are present. In Mr. Jones's class only 1/4 of the students are present. Which class has the most students absent?

#### Solution:
We are told:
- Ms. Smith: $ \frac{1}{2} $ present → so $ 1 - \frac{1}{2} = \frac{1}{2} $ absent
- Mr. Jones: $ \frac{1}{4} $ present → so $ 1 - \frac{1}{4} = \frac{3}{4} $ absent

Compare $ \frac{1}{2} $ and $ \frac{3}{4} $:
- $ \frac{1}{2} = \frac{2}{4} $
- $ \frac{3}{4} > \frac{2}{4} $

So, Mr. Jones’s class has more students absent.

✔ Correct conclusion.

But the explanation says:
> "Ms. Smith's class has 1/2 absent and Mr. Jones has 3/4 absent. Mr. Jones has more students absent."

This is correct.

✔️ Answer is correct.

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✔ Final Summary of Corrections:

| Problem | Given Answer | Correct Answer | Notes |
|--------|--------------|----------------|-------|
| 1 | Peter made it further | Becky went further | ✘ Incorrect — Peter not mentioned |
| 2 | Charles made more | ✔ Correct | ✔️ |
| 3 | Eddy made more | ✔ Correct | ✔️ |
| 4 | Harry repaired the most | ✔ Correct | ✔️ |
| 5 | Mr. Jones has more absent | ✔ Correct | ✔️ |

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🛠️ Final Answer Key (Corrected):

1. Becky went further down the hill.
2. Charles made more snowballs.
3. Eddy made more blocks.
4. Harry repaired the most skis.
5. Mr. Jones’s class has more students absent.

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Let me know if you'd like a printable version with corrected answers!